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notebooks/BMI Trajectories.ipynb
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{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "%matplotlib inline\nimport numpy as np\nimport pandas as pd\nimport seaborn as sns\nimport matplotlib.pylab as plt\n\nfrom functools import partial\n\nfrom theano import shared, function, scan\nimport theano.tensor as tt\nfrom theano.tensor import slinalg\ncholesky = slinalg.cholesky\n\nfrom pymc3 import Model, sample, Metropolis, advi, Deterministic, Mixture, generator\nfrom pymc3 import DensityDist, CategoricalGibbsMetropolis, Minibatch, logsumexp\nfrom pymc3.distributions import *\nfrom pymc3.gp import cov, gp, mean\nfrom pymc3 import ADVI, adam, fit, SVGD, sample_ppc\nfrom pymc3 import forestplot, traceplot\n\nDATA_DIR = '../data/clean/'",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Sample of 5000 patients"
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "bmi_by_patient = (pd.read_csv(DATA_DIR+'bmi_by_patient.csv', index_col=0)\n .dropna(axis=1, thresh=5))\nbmi_by_patient.head()",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": " 1621101 1685338 1713205 1958537 2025534 2062537 \\\nDays \n0 27.464844 NaN 29.679341 27.51063 27.032689 27.484552 \n1 NaN NaN NaN NaN NaN NaN \n2 NaN NaN NaN NaN NaN NaN \n3 NaN NaN NaN NaN NaN NaN \n4 NaN NaN NaN NaN NaN NaN \n\n 2087799 2129427 2186450 2382232 ... 40985475 \\\nDays ... \n0 29.380994 27.614212 29.743767 28.201669 ... 27.777479 \n1 NaN NaN NaN NaN ... NaN \n2 NaN NaN NaN NaN ... NaN \n3 NaN NaN NaN NaN ... NaN \n4 NaN NaN NaN NaN ... NaN \n\n 41005570 41014622 41014655 41043167 41052325 41054388 \\\nDays \n0 29.785761 28.921647 NaN 28.096818 28.663549 27.26058 \n1 29.785761 NaN NaN NaN NaN NaN \n2 29.969401 NaN NaN NaN NaN NaN \n3 NaN 29.030746 NaN NaN NaN NaN \n4 NaN NaN NaN NaN NaN NaN \n\n 41077231 41087032 41248451 \nDays \n0 27.125971 27.423469 28.801188 \n1 NaN NaN 28.695456 \n2 NaN NaN 29.209745 \n3 NaN NaN 28.695456 \n4 NaN NaN NaN \n\n[5 rows x 5915 columns]",
"text/html": "<div>\n<style>\n .dataframe thead tr:only-child th {\n text-align: right;\n }\n\n .dataframe thead th {\n text-align: left;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>1621101</th>\n <th>1685338</th>\n <th>1713205</th>\n <th>1958537</th>\n <th>2025534</th>\n <th>2062537</th>\n <th>2087799</th>\n <th>2129427</th>\n <th>2186450</th>\n <th>2382232</th>\n <th>...</th>\n <th>40985475</th>\n <th>41005570</th>\n <th>41014622</th>\n <th>41014655</th>\n <th>41043167</th>\n <th>41052325</th>\n <th>41054388</th>\n <th>41077231</th>\n <th>41087032</th>\n <th>41248451</th>\n </tr>\n <tr>\n <th>Days</th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>27.464844</td>\n <td>NaN</td>\n <td>29.679341</td>\n <td>27.51063</td>\n <td>27.032689</td>\n <td>27.484552</td>\n <td>29.380994</td>\n <td>27.614212</td>\n <td>29.743767</td>\n <td>28.201669</td>\n <td>...</td>\n <td>27.777479</td>\n <td>29.785761</td>\n <td>28.921647</td>\n <td>NaN</td>\n <td>28.096818</td>\n <td>28.663549</td>\n <td>27.26058</td>\n <td>27.125971</td>\n <td>27.423469</td>\n <td>28.801188</td>\n </tr>\n <tr>\n <th>1</th>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>...</td>\n <td>NaN</td>\n <td>29.785761</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>28.695456</td>\n </tr>\n <tr>\n <th>2</th>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>...</td>\n <td>NaN</td>\n <td>29.969401</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>29.209745</td>\n </tr>\n <tr>\n <th>3</th>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>...</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>29.030746</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>28.695456</td>\n </tr>\n <tr>\n <th>4</th>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>...</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n </tbody>\n</table>\n<p>5 rows × 5915 columns</p>\n</div>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "assert bmi_by_patient.notnull().sum().min() == 5",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "bmi_by_patient.index = pd.to_datetime(bmi_by_patient.index, unit='D')",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "bmi_resampled = bmi_by_patient.resample('2W').mean()\nbmi_resampled.shape",
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "(27, 5915)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# data_subset = bmi_resampled.iloc[:, :500]\ndata_subset = bmi_resampled.copy()",
"execution_count": 6,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Random sample of 100 trajectories"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fig, axes = plt.subplots(figsize=(14,6))\n(bmi_resampled[np.random.choice(bmi_resampled.columns, 100)].interpolate(limit=10)\n .plot(legend=False, alpha=0.3, ax=axes))\naxes.set_ylabel('BMI');",
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x11dba92e8>",
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MH0+vJY/Hczm8MAJ6o1PThYsIlORHLzuP2qnuQkG0nhJ44wmP58FhnWN/UiAQ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\nKlm8U+bBaJbgKRWo6ag1X86px9tMB9vdDAyDzRlXI2kbXSI4M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VkQHhaIU2+U9z7Ohx+H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c6ZLE9NfoLlZEPfLvQc/Egfs/ztsZKqKMThxGGjRUWDVQVWObTW1IVhXrtMvavdRJb8w+PY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\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e+pr+2//0ow9ex6+B0XuGaS4w9ZvOzOzTWyVgQ3DUy19gmzlS9xAy0rJ0to9QI+YXNct5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\nPoB8AFRC6WnGqgLW/sWd3+V5H+0akE6A469QZPsUyQ5e9Pq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swdggz5B5jpNOadcj8dxC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\nAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data_subset.shape",
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "(27, 5915)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Stick-breaking function for Dirichlet process"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def stick_breaking(beta):\n \n portion_remaining = tt.concatenate([[1], tt.extra_ops.cumprod(1 - beta)[:-1]])\n\n return beta * portion_remaining",
"execution_count": 9,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Maximum number of groups"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "CLUSTERS = 20\nD, N = data_subset.shape",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data_missing = np.ma.masked_equal(data_subset.fillna(42).values, 42).T",
"execution_count": 11,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data_missing.shape",
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "(5915, 27)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "APPROX = True\n\nif APPROX:\n BATCH_SIZE = 10\n minibatches = Minibatch(data_missing, batch_size=BATCH_SIZE)\nelse:\n BATCH_SIZE = N\n minibatches = data_missing\n\nX = np.arange(D).reshape(-1, 1)",
"execution_count": 13,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "with Model() as model:\n \n # DP concentration parameter\n α = Gamma('α', 1., 1.)\n # Stick-breaking components\n β = Beta('β', 1., 1, shape=CLUSTERS)\n ω = Deterministic('ω', stick_breaking(β))\n \n # Hyperparameters of GPs\n η = HalfCauchy('η', 3, shape=CLUSTERS)\n ρ = HalfCauchy('ρ', 3, shape=CLUSTERS)\n # Noise\n σ = HalfCauchy('σ', 5)\n \n # Covariance functions for each component\n K = [(η[c]**2)*cov.Matern32(1, ρ[c]**2) for c in range(CLUSTERS)]\n \n def calc_logp(y, s):\n return tt.stack([MvNormal.dist(tt.zeros_like(y), \n chol=cholesky(k(X) + s)).logp(y) for k in K])\n \n def logp(value):\n \n s = tt.eye(D)*(σ**2)\n \n # Mixture of Gaussian processes\n gp_logp, _ = scan(calc_logp, sequences=[value], non_sequences=[s])\n \n return tt.sum(logsumexp(tt.log(ω) + gp_logp, axis=-1))\n \n trajectories = DensityDist('trajectories', logp, observed=minibatches, \n shape=(BATCH_SIZE, D), total_size=data_missing.shape)\n ",
"execution_count": 15,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "with model:\n if APPROX:\n approx = fit(n=30000)\n trace = approx.sample(1000)\n else:\n trace = sample(1000, n_init=50000, burn=2000)",
"execution_count": 26,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "INFO (theano.gof.compilelock): Refreshing lock /Users/fonnescj/.theano/compiledir_Darwin-16.6.0-x86_64-i386-64bit-i386-3.6.1-64/lock_dir/lock\nAverage Loss = 5.3398e+05: 100%|██████████| 30000/30000 [6:04:43<00:00, 8.48it/s] \nFinished [100%]: Average Loss = 5.3403e+05\nINFO (theano.gof.compilelock): Refreshing lock /Users/fonnescj/.theano/compiledir_Darwin-16.6.0-x86_64-i386-64bit-i386-3.6.1-64/lock_dir/lock\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "traceplot(trace, varnames=['σ', 'α']);",
"execution_count": 64,
"outputs": [
{
"data": {
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dJwVwcTDAmcuTGflBpRgjZkRmvCLpCoHTFsIBzTCTon8omOrFlnWfhCMJzl6Z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R1Kqf3AZwETa2bNd6fX4cls2wF8AdiEFfd/01pPr95rXWK9DvgbIIX1OXur1vpizvYFj5c6x3oD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\nMzPLyR/JqgR4D+ZQPAAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x1644109b0>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "forestplot(trace, varnames=['ω'])",
"execution_count": 28,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.gridspec.GridSpec at 0x1416c4eb8>"
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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cZC64IiIiUiBR1pxUVlYiLCwMJpMJ3377LZ588knExMQgOjoaZrMZwNVbie+5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\novz/E/iTX2bww6gAAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x1582cd550>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "forestplot(trace, varnames=['η'])",
"execution_count": 29,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.gridspec.GridSpec at 0x1579145c0>"
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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lBRaLBcCF25pvvPFGLF++XKpuRSsr24jS0lLF+iciIiLxJB1hCQsLg8ViwZIl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\n",
"text/plain": "<matplotlib.figure.Figure at 0x157914d30>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "forestplot(trace, varnames=['ρ'])",
"execution_count": 30,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.gridspec.GridSpec at 0x158f33550>"
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dd2HlypVChXVLfv4W5OXlSRKbiIiI2ifoGRJfX19YLBYsW7YMo0ePxjPPPIPT\np09j0qRJiIqKQmZmJtasWYPa2lohw3ZYRsZKqNUqREfHShKf2mezqbFvnwZRUXbeaI+ISIFEWbJp\nbm7Gjz/+CKfTifr6emg0GqjV0l/QM2JEOLRaRa1SeSUhwQ9Wa2f8vK6+Jr1nJ8TrGKPRjry8eqnT\nICJSBFE+bZ577jkkJCRg9+7dqK2txQsvvIAbb7zRrWMEBOig0fgImtfHH+8W9HgdpdcDlZWShCYv\nWK0aBAW1PcCne2v/PUdEABUVnZgKtTtEiqTBeohHlIbk+eefx5NPPomEhARUVVUhKSkJY8aMwejR\nozt8jNraOjFSk2RTa3Fxp4brUvr164OPPrqIuDgd7HYVNBonCgvruGwjkY78/eDdmTsPN+HLC+sh\njE6b1Hr27FkcOHAAM2fOBACEhobirrvuQllZmdCh3BYZqUdoaKjUaVArBoMDhYV1SE29xGaEiEih\nBG9IAgICEBwcjKKiIgCXG5SysjLceuutQoeibsRgcGDRokY2I0RECiX4ko1KpcLatWvx0ksv4a23\n3oJarcb8+fNhMBiEDuW2nJzNCAzsJXUaRERE1Iooe0hGjBiB3NxcMQ7tlZEjI7gGSEREJEOCLtk0\nNDTAZDLh8OHDbT6fnJyMTZs2CRnSLenpaUhOTpYsPhEREbVN5XQ6nVIn0RYxzmJERuqhVqtQVlYu\n+LHJMzxjJS+sh7ywHvLCegijvatsFDUlbNq06dDptFKnQURERK0oqiFJTU1jh0tERCRDimpIDh2q\nRGBgLwQHh0qdChEREV1FUQ1JUtIs7iEhIiKSIenveEdERESKp6iG5MCBClRVVUmdBhEREbUiWENS\nXV2N8PBwmEwm/OMf/8Ds2bMRExOD2bNnY//+/QAuzyG56667sHLlSqHCEhERUTcg6BkSX19fWCwW\nLFu2DDNmzMDOnTuxZs0apKWloaamBpmZmZg9e7aQId2SmDgDMTExksWny2w2NbKztbDZFHWCjoiI\nrkPwTa1nz57FyZMnMXXqVABAv379MHz4cHz22Wd46KGHhA7nliNHDkOtVkmag5wkJPjBapVyX3PP\nn/7b9pAcqRiNduTl1UudBhGRogj+aRQYGIiQkBAUFBRg+vTp+P7773HgwAFERES4dZyAAB00Gh9B\nc8vKygTQ/pQ4T+n1QGWloIckCVmtGgQFyatJ6lzyfO8REUBFhdRZdD6h/39F3mE9xCPKP4/Xrl2L\nVatW4b2mghLOAAAgAElEQVT33sPw4cNx7733okePHm4do7a2TvC8oqNjRRmMVlws6OG6NZtNjbg4\nHex2FTQaJz77TIWwMA6qkwu5Dw6sqZE6g84l93ooDeshjE4dHe9wOLB27VpoNJcP//jjj2PChAli\nhHJLfv4W+Pv7ITo6VupUFMtgcKCwsA779mkQFWXHHXf0UtyHDBERXUuUhmTFihV49NFHMWnSJHzx\nxRf417/+haioKDFCuSUjYyXUahUbEokZDA4YDI1Sp0FERDIiSkOycuVKpKam4s0334ROp8PatWuh\n0+nECOWWESPCodUqajgtERFRlyDKp/OwYcOwZcsWMQ7tldzcrVwDJCIikiFBB0E0NDTAZDLh8OHD\nbT6fnJyMTZs2CRmSiIiIugGV0+l0Sp1EW8Q4ixEZqefN9WSGZ6zkhfWQF9ZDXlgPYbR3lQ1HZRIR\nEZHkFLXDMydnMwIDe0mdBhEREbWiqIZk5MgInnIjIiKSIUUt2aSnpyE5OVnqNIiIiKgVRTUkBQXb\nsHHjRqnTICIiolYUtWQzbdp06HRaqdMgIiKiVtw+Q1JdXY3w8PAW80ZKSkpgMplavO5vf/sbYmNj\nMXHiRCxatAgXLlzAyZMnYTKZoNfrUV7e+ZfepqamITMzs9PjEhER0fV5tGTj6+sLi8WCoUOHwmw2\nY/HixWhubnY9f/bsWSQnJ2PNmjUoKirCoEGD8Oqrr2LAgAGwWCwICgoS7A2449ChSkkaIWrJZlMj\nO1sLm01RK4ZERHQdXi3ZlJSUoL6+HllZWTCbzS0eHzVqFEJDQwEAc+bMgclkwosvvgiVSuVVwt5I\nSpql+MFoCQl+sFrlslLX86f/tj0kR86MRjvy8uqlToOIqNvw6pPJaDTCaDSitLS0xeOnTp1CcHCw\n6+vg4GBcuHABFy9eRO/evTt07IAAHTQaH2/Su4ZafbkZam9KnJD0eqCyUvQwJBGrVYOgoK7XSHVM\nd31fwoiIACoqOi9eZ/z/ijqO9RCPKP9UdjgcbZ4JUas7foq+trZOyJQAAGVl5Z02h6S4WPQQXZLN\npkZcnA52uwoajROffaZCWBjnwsgF5/R0TE1N58RhPeSF9RBGe02dKA3JgAED8OWXX7q+Pn36NG64\n4QbodDoxwlEXYjA4UFhYh337NIiKsuOOO3p12v/ciYhIvkTZVfjLX/4SX375JaqqqgAAmzZtwv33\n3y9GKLckJs5ATEyM1GkonsHgwKJFjTAYHFKnQkREMiHKGZIbb7wRmZmZWLRoEZqamjB48GCsWrVK\njFBuOXLksGsfCREREcmHIA3JuHHjsHPnzhaP3Xvvvbj33nuFOLxgUlJWwN/fT+o0iIiIqBWPlmwa\nGhpaDEbrqCuD0c6cOeNJWK/Fx89EQkKCJLGJiIiofW6fIQkJCXG7EbniymA0qeTnb4G/vx+io2Ml\ny4GIiIiuJZcJWZ0iI2Ml1GoVGxIiIiKZUVRDMmJEOLRaRb1lIiKiLkFRn865uVs52IaIiEiGeHcz\nIiIikpyiGpLISL3rhn9EREQkH4pqSIiIiEie3G5IqqurER4e3mIOSUlJCUwm0zWvdTqdeOGFF7B+\n/XoA/51DotfrUV5e7mXq7svJ2YwPPvig0+MSERHR9Xl0hsTX1xcWiwVDhw6F2WzG4sWL0dzc3OI1\n3377LR555BEUFRW5HrsyhyQoKMi7rD00cmQERo0aJUlspbLZ1MjO1sJm48k4IiJqn1dX2ZSUlKC+\nvh5ZWVkwm80tnsvNzcWMGTNw0003eZWgkNLT06DTabFkSYrUqXSKhAQ/WK1yuZCq53Wea/tW1HJk\nNNqRl1cvdRpERN2OV59WRqMRRqMRpaWl1zy3YsUKAMDnn3/u0bEDAnTQaHy8Se8aFks+ACAzM9Oj\n79frgcpKITOirsZq1SAoqOs0UJ7p7u/PPRERQEWFdPH79WM95IT1EI9c/vl8jdraOsGPaTLFQ6fT\nejyHpLhY4IS6OZtNjbg4Hex2FTQaJwoL62AwOFq8hnNh5IX1aFtNjTRxWQ95YT2E0V5TJ9uGRAyp\nqWn8A9WJDAYHCgvrsG+fBlFR9muaESIioisU1ZAcOlSJwMBeCA4OlToVxTAYHDAYGqVOg4iIZE5R\nDUlS0iyo1SqUlXX+JcdERETUPkEaknHjxmHnzp1tPpeVlSVECCIiIurGPBoO0dDQ0GIwWkddGYx2\n5swZT8J67cCBClRVVUkSm4iIiNrn9hmSkJAQtxuRK64MRiMiIiK6mqLGZyYmzkBMTIzUaRAREVEr\nitrUeuTIYajVKqnTICIiolYU1ZCkpKyAv7+f1GkQERFRK4pqSOLjZ3IwGhERkQwpqiHJz98Cf38/\nREfHSp0KERERXUVRDUlGxkqo1So2JERERDLj1lU21dXVCA8PbzGDpKSkBCaTqcXrLBYL4uLiYDKZ\nMHv2bJSXl6O5uRkmkwljx47F7t27hXsHbhgxIhx6vV6S2ERERNQ+t8+Q+Pr6wmKxoKGhAWazGXl5\neejfv7/r+e+++w6vvPIKtm/fjqCgIHz66af4zW9+g7/97W+wWCxISkoS9A24Izd3K/eQCMBmU/OG\neUREJCiPl2xKSkpQX1+PrKwsmM1m1+NarRbp6ekICgoCAOj1evzwww9obGyEVqv1PmNySUjwg9Uq\n5apbT4GO0/atqKVgNNqRl1cvdRpERIrj8aeZ0WiE0WhEaWlpi8dDQkIQEhICAHA6ncjMzMSECRPc\nbkYCAnTQaHw8Ta9NoaGhANDh8fF6PVBZKWgKJHNWqwZBQfJpkKSh9PcvrIgIoKLC8+/v14/1kBPW\nQzyi/fO6rq4Oy5Ytw6lTp/DnP//Z7e+vra0TPCeHwwm1WtXhJZviYsFT6PJsNjXi4nSw21XQaJwo\nLKzzatmGS2jywnqIo6bGs+9jPeSF9RBGe02dKA3JiRMnsGDBAoSFheEvf/kLfH19xQjjtpyczQgM\n7CV1Gl2aweBAYWEd95AQEZGgBG9ILly4gKSkJEybNg1PP/200If3ysiREexwBWAwOGAwNEqdBhER\ndSOCNyS5ubk4ceIE9uzZgz179rge37BhAwICAoQO55b09DTodFosWZIiaR5ERETUktcNybhx47Bz\n507X1/Pnz8f8+fO9PawoCgq2Qa1WsSEhIiKSGbcGowFAQ0NDi8FoHXVlMFqFN9vNvTRt2nTMmTNH\nsvhERETUNpXT6XRKnURbxNrnwT0k8sJ6yAvrIS+sh7ywHsLo1Kts5OrQoUoEBvZCcHCo1KkQERHR\nVRTVkCQlzYJarUJZWbnUqRAREdFV3N5DQkRERCQ0RTUkBw5UdHhsPBEREXUeRTUkREREJE+KakgS\nE2cgJiZG6jSIiIioFbcbkurqaoSHh7eYRVJSUgKTydTide+//z6mTJmCmJgYPPXUU/j3v/+NkydP\nwmQyQa/Xo7y88zeWHjlyWNI5KERERNQ2j86Q+Pr6wmKxYOjQoTCbzVi8eDGam5tdz1dUVOCdd97B\npk2bsHPnToSGhuL111/HgAEDYLFYEBQUJNgbcEdKygpkZGRIErursNnUyM7WwmZT1MkzIiKSmFeX\n/ZaUlKC+vh5ZWVkwm82ux/V6PYqKitCjRw9cunQJp0+fRkhIiNfJeis+fmaXGWyTkOAHq1XKq7J7\ndmKstofkdBaj0Y68vHpJcyAiUjqvPvGMRiOMRiNKS0uvea5Hjx6wWq1Yvnw5tFotFi1a5NaxAwJ0\n0Gh8vEnvGnl5eQCAhISEa57T64HKSkHDURdhtWoQFCRtUyQv/FnIi7j1iIgAuJLdce1NGSXvifpP\n8CsNy5YtW/DEE09gz549UKs7thRQW1sneD7LliVDrVYhOjr2mueKiwUP1+XYbGrExelgt6ug0ThR\nWFgHg8EhasyucsZKKVgPeemsetTUiB6iW+DfD2G019SJslHg6NGjsNlsrq/j4+Nx4sQJnD9/Xoxw\nHTZiRDj0er2kOciZweBAYWEdUlMvdUozQkREdIUoZ0hqamqwZMkS7NixA4GBgfjggw9wyy23ICAg\nQIxwHZabu5Ud7v9gMDhgMDRKnQYRESmMKA2JwWDAggUL8PDDD8PHxwdBQUF48803xQhFRERE3YAg\nDcm4ceOwc+fOFo8lJCS0uXlUSpGRet5cj4iISIY82kPS0NDQYjBaR10ZjHbmzBlPwhIREVE3pXI6\nnU6pk2iLGPs8Dh2qRGBgLwQHhwp+bPIM9/TIC+shL6yHvLAewmjvKhspJ291upEjI/gHioiISIYU\nNR88PT0NycnJUqdBRERErSiqISko2IaNGzdKnQYRERG1oqglm2nTpkOn00qdBhEREbWiqIYkNTWN\ne0iIiIhkyK0lm+rqaoSHh7e45LekpAQmk6nN11utVowdOxYA0NzcDJPJhLFjx2L37t1epu2ZQ4cq\nUV7OGSRERERy4/YeEl9fX1gsFgwdOhRmsxmLFy9Gc3PzNa+rqqrCqlWrXF/7+PjAYrFIei+ZpKRZ\niI299sZ63ZnNpkZ2thY2m6K2CxERURfj8ZJNSUkJ6uvrkZWVBbPZ3OK5+vp6LF26FMuWLcPzzz/v\ndZLdRUKCH6xWqVbJekoUtyO8v5230WhHXl69ALkQEZEUPP50NBqNMBqNKC0tvea5FStWYNasWRg+\nfLjHiQUE6KDR+Hj8/W05duxoi6/1eqCyUtAQJBGrVYOgIO8bGwKEaBBJSN2vHhERQEWF1Fl4pr2h\nXuQ9wf+5npubC41Gg+nTp6O6utrj49TW1gmY1X9dvam1uFiUELJhs6kRF6eD3a6CRuNEYWEdDAaH\n1Gm1wE3G8sJ6yEt3rkdNjdQZuK8716Mzddqk1oKCAte9bpqamly//9Of/oT+/fsLHc4tiYkzoNVq\n8O67yphFYjA4UFhYh337NIiKssuuGSEiIrpC8IZk27Ztrt9XV1cjNjYWFotF6DAeOXLkMNRqldRp\ndCqDwQGDoVHqNIiIiK5LUXNIUlJWwN/fT+o0iIiIqBWvG5Jx48Zh586dbT4XEhKCgwcPehtCMPHx\nM7kGSEREJENuD6e4sifkymC0jroyGK1Cwq3V+flbkJeXJ1l8IiIiapvK6XQ6pU6iLWKcxYiM1EOt\nVqGsjNNa5YJnrOSF9ZAX1kNeWA9hdNpVNnI2YkQ4tFpFvWUiIqIuQVGfzrm5W9nhEhERyRBvcEJE\nRESSU1RDEhmpR2hoqNRpEBERUSuKakiIiIhInhS1hyQnZzMCA3tJnQYRERG14tYZkurqaoSHh7eY\nQ1JSUgKTydTidVlZWRg/fjxMJhNMJhOeffZZ1xySsWPHYvfu3cK9AzeMHBmBUaNGSRKbiIiI2uf2\nGRJfX19YLBY0NDTAbDYjLy/vmpvmHTx4EH/4wx9w2223tXjcYrEgKSnJu4y9kJ6eBp1OiyVLUiTL\nQWw2m5o30yMioi7H4yWbkpIS1NfXIysrC2az2fV4Y2MjDh06hD//+c/4/vvvERoaiuTkZNx0002C\nJOyNgoJtUKtVndKQJCT4wWqVckWsp4Sx3dX2kByhGI125OXVixqDiIi84/EnptFohNFoRGlpaYvH\nT58+jTvuuAPPPvssbrnlFqxfvx6//vWvUVBQAJWq43faDQjQQaPx8TS9NiUmJgC4PCVOrwcqKwU9\nPMmU1apBUJC4TU/3wp+VvLAe8uJePSIiAAnvmNKlCP5P+EGDBmHdunWur5944gm89dZbqK6uxqBB\ngzp8nNraOqFTw5IlKa7BaMXFgh9ecjabGnFxOtjtKmg0ThQW1sl+2YaD6uSF9ZAX1kNePK1HTY0I\nyXRhnTY6/siRIzhy5AimTp3qeszpdKJHjx5Ch3LboUOVCAzsheDgUKlTEYXB4EBhYR33kBARUZcj\neEOiVqvx8ssvIzIyEoMGDUJeXh6GDx+O4OBgoUO5LSlpVre/uZ7B4IDB0Ch1GkRERG4RvCEZNmwY\nUlNT8dRTT6G5uRnBwcH4wx/+IHQYIiIi6ka8bkjGjRuHnTt3tnjsyvwRuTlwoIJrskRERDLk9uj4\nhoaGFoPROurKYLQKbjcmIiKiVtw6QxISEuJ2I3KFj48PLBaLR98rlMTEGdBqNXj33Y2S5kFEREQt\nKepeNkeOHIZa3fFZKERERNQ5FNWQpKSsgL+/n9RpEBERUSuKakji42dyUysREZEMKaohyc/fAn9/\nP0RHx0qdChEREV1FUQ1JRsZKqNUqNiREREQyo6iGZMSIcGi1inrLREREXYJbc0iqq6sRHh7eYg5J\nSUnJNUPQvv76ayQlJWHq1Kl46KGHUFFR4ZpDMnbsWOzevVu4d+CG3Nyt1wxxIyIiIum5PRjN19cX\nFosFQ4cOhdlsxuLFi9Hc3Ox6vr6+Hk888QSefPJJ7NixA7/+9a/x/PPPu+aQ6PV6Qd9Ad2ezqZGd\nrYXN5napiIiIugyP1y9KSkpQX1+PrKwsmM1m1+Off/45Bg0ahHvvvRcAcP/99yMkJMT7TAUQGakX\n/OZ6CQl+sFo7YxmoZyfEkErbt6IGAKPRjry8+k7MhYiIpODxJ6nRaITRaERpaWmLx//f//t/6Nev\nH1JSUnDkyBH4+/tj6dKlbh8/IEAHjcbH0/TadGUo2n339UFlpaCHJpFYrRoEBbXfsJAY+POWF9bj\niogIQOq7j/Trx3qIRfB/2tvtdnz66af4y1/+gltvvRVWqxXz5s1DcXExtFpth49TW1sndGp4771N\nCAzsheDgrjGHxGZTIy5OB7tdBY3GicLCOhgMDqnTEhTnwsgL6yEvrMe1amqki816CKO9pk7wjQlB\nQUEICwvDrbfeCuDymZTm5mZ8//33Qody28iRERg1apTUaXSYweBAYWEdUlMvdctmhIiI6ArBG5J7\n7rkH1dXVrrv6lpWVQaVSyWIfSXp6GpKTk6VOwy0GgwOLFjWyGSEiom5N8CWbfv364c0338Tvfvc7\n1NfXQ6vVYs2aNejZU/pNmQUF26BWq7BkSYrUqRAREdFVvG5Ixo0bd81sj1/84hfYunWrt4cW3LRp\n06HTdXwfCxEREXUOt5dsGhoaWgxG66grg9EqJNwinZqahszMTMniExERUdvcOkMSEhLidiNyxZXB\naFI6dKjyp6tsQiXNg4iIiFpS1I1dkpJmCT4YjYiIiLzHeeREREQkOUU1JAcOVKCqqkrqNIiIiKgV\nRTUkREREJE+KakgSE2cgJiZG6jSIiIioFUVtaj1y5LDrBntEREQkH26fIamurkZ4eHiLWSQlJSUw\nmUyu1+zYsQMmk8n1a8KECYiIiMDx48dhMpmg1+tRXt75V7qkpKxARkZGp8clIiKi6/PoDImvry8s\nFgsaGhpgNpuRl5eH/v37u56fOnUqpk6dCgBoamrC3LlzMW/ePAwcOBAWiwUTJkwQJns3xcfPlOXd\nGm02Nfbt0yAqys571hARkSJ5tWRTUlKC+vp6ZGVlwWw2t/madevWITAwELNnz/YmlCDy87fA398P\n0dGxbn9vQoIfrFaxV7ikv99PZzIa7dizR+osiIhIDrz6hDUajTAajSgtLW3z+bNnz+Ldd9/F9u3b\n3T52QIAOGo2PN+ldIyvrJQBARkYCKisFPTR5wGrVQKUCgD5Sp0ItsB7ywnrIizLqEREBdPadXkT9\nJ/+WLVtw//33Y9CgQW5/b21tneD5DBs2AlqtBu++K58lG5tNjbg4Hex2FTQaJwoL6xS1bCPHJTQl\nYz3khfWQF6XVo6ZGnOP269d2UydqQ/Lhhx8iNTVVzBBuyc3dKrs/UAaDA4WFddxDQkREiiZaQ3L+\n/HkcO3YMY8eOFStEt2EwOGAwNEqdBhERkWREG4x29OhR9OvXDz169BArhNsiI/UIDQ2VOg0iIiJq\nRZCGZNy4cdi5c2eLx0aPHo09vISCiIiIOsCjhqShoaHFYLSOOnnyJEwmE86cOeNJWK/l5GzGBx98\nIElsIiIiap/K6XQ6pU6iLWJtPJXbplalYz3khfWQF9ZDXlgPYbR3lY2ibq6Xnp6G5ORkqdMgIiKi\nVhTVkBQUbMPGjRulToOIiIhaUdTdfqdNmw6dTit1GkRERNSKohqS1NQ0rgESERHJkKIakkOHKhEY\n2AvBwaFSp0JERERXUVRDkpQ0C2q1CmVl5VKnQkRERFdxe1NrdXU1wsPDW8whKSkpgclkavG6PXv2\nIDY2FiaTCQ8//DCOHTvmmkOi1+tRXs6mgIiIiC7z6CobX19fWCwWDB06FGazGYsXL0Zzc7Pr+YaG\nBixduhRvvPEGLBYLJkyYgPT0dAwYMAAWiwVBQUGCvQF3HDhQgaqqqk6Pa7OpkZ2thc2mqIuaiIiI\nOsyrJZuSkhLU19cjKysLZrPZ9XhzczOcTid+/PHy5tGLFy+iZ8+e3mXaiRIS/GC1irGa1XV+Blcz\nGu3Iy6uXOg0iIurGvPrUNRqNMBqNKC0tbfF4r1698Lvf/Q6zZ89G37594XA43J7/ERCgg0bj4016\n14iJiQEAVFXtRGWloIfu1qxWDYKC2p6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"text/plain": "<matplotlib.figure.Figure at 0x158f330b8>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "with model:\n posterior_samples = sample_ppc(trace, 100, vars=[η, ρ, σ])",
"execution_count": 48,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "100%|██████████| 100/100 [00:00<00:00, 147.98it/s]\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "eta = posterior_samples['η']\nsigma = posterior_samples['σ']\nrho = posterior_samples['ρ']",
"execution_count": 49,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/9d43001fdf58e2b872d0e5026883f3c2"
},
"anaconda-cloud": {},
"gist": {
"id": "9d43001fdf58e2b872d0e5026883f3c2",
"data": {
"description": "notebooks/BMI Trajectories.ipynb",
"public": true
}
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.1",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"latex_envs": {
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 0
},
"toc": {
"threshold": "2",
"number_sections": true,
"toc_cell": false,
"toc_window_display": false,
"toc_section_display": "block",
"sideBar": true,
"navigate_menu": true,
"moveMenuLeft": true,
"widenNotebook": false,
"colors": {
"hover_highlight": "#DAA520",
"selected_highlight": "#FFD700",
"running_highlight": "#FF0000"
},
"nav_menu": {
"width": "252px",
"height": "12px"
}
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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